Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If [tex]f(x)+k[/tex], the function is shifted up "k" units.
2. If [tex]f(x)-k[/tex], the function is shifted down "k" units.
3. If [tex]f(x+k)[/tex], the function is shifted left "k" units.
4. If [tex]f(x-k)[/tex], the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
[tex]y=2[/tex]
And the function "g" intersects the y-axis at:
[tex]y=-2[/tex]
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:
[tex]g(x)=f(x)-4[/tex]
